I think I've got 85 to my name currently:
Argentina
EZE, Ezeiza International Airport†
FTE, Aeropuerto Internacional Comandante Armando Tola de El Calafate
IGU, Foz do Iguaçu International Airport
Australia
BNE, Brisbane Airport*
SYD, Sydney Airport
Austria
VIE, Vienna International Airport
Bahrain
BAH, Bahrain International Airport
Cambodia
PNH, Phnom Penh International Airport
SAI, Siem Reap International Airport
Canada
YSE, Squamish Airport
YYZ, Toronto Pearson International Airport†
YVR, Vancouver International Airport†
Chile
SCL, Arturo Merino Benitez International Airport
China
PKX, Beijing Daxing International Airport*†
PVG, Shanghai Pudong International Airport
Denmark
CPH, Copenhagen Airport†
Fiji
NAN, Nadi International Airport
Finland
HEL, Helsinki Airport
France
TLS, Toulouse-Blagnac Airport
Germany
BER, Berlin Brandenburg Airport
HAM, Hamburg Airport
STR, Stuttgart Airport
Greence
CFU, Ioannis Kapodistrias International Airport
KGS, Kos International Airport
RHO, Diagoras International Airport
ZTH, Zakynthos International Airport Dionysios Solomos
Hong Kong
HKG, Hong Kong International Airport
Iceland
KEF, Keflavík International Airport
Ireland
DUB, Dublin Airport†
Italy
NAP, Naples International Airport
VRN, Valerio Catullo Airport
Malaysia
KUL, Kuala Lumpur International Airport
Morocco
RAK, Marrakesh Menara Airport
Nepal
JOM, Jomsom Airport
KTM, Tribhuvan International Airport
PHH, Pokhara Airport
Netherlands
AMS, Amsterdam Airport Schiphol†
Norway
SVG, Stavanger Airport*
Oman
MCT, Muscat International Airport†
Peru
LIM, New Jorge Chávez International Airport
Philippines
MPH, Godofredo P. Ramos Airport
CYZ, Cauayan City Airport†
ENI, El Nido Airport
MNL, Ninoy Aquino International Airport†
PPS, Puerto Princesa International Airport†
Poland
KRK, Aéroport international Jean-Paul II de Cracovie-Balice
Portugal
FAO, Faro International Airport
Singapore
SIN, Singapore Changi Airport
Spain
ALC, Alicante-Elche Miguel Hernández Airport
BCN, Josep Tarradellas Barcelona-El Prat Airport†
FUE, Fuerteventura Airport
MAD, Adolfo Suárez Madrid–Barajas Airport
PMI, Palma de Mallorca Airport
MAH, Menorca Airport
Sweden
ARN, Stockholm Arlanda Airport†
Switzerland
INN, Innsbruck Airport
Thailand
DMK, Don Mueang Airport
BKK, Suvarnabhumi Airport
United Arab Emirates
AUH, Zayed International Airport†
DXB, Dubai International Airport
United Kingdom
BRS, Bristol Airport†
CWL, Cardiff Airport
EMA, East Midlands Airport
EDI, Edinburgh Airport†
LWG, London Gatwick Airport†
LHR, Heathrow Airport†
INV, Inverness Airport
LCY, London City Airport
NCL, Newcastle International Airport†
STN, London Stansted Airport
United States of America
ANC, Ted Stevens Anchorage International Airport
ATL, Hartsfield-Jackson Atlanta International Airport†
ORD, Chicago O'Hare International Airport†
LAX, Los Angeles International Airport
SDF, Louisville Muhammad Ali International Airport
EWR, Newark Liberty International Airport
MCO, Orlando International Airport†
PHL, Philadelphia International Airport
SFO, San Francisco International Airport
SEA, Seattle–Tacoma International Airport*
IAD, Dulles International Airport
Vanuatu
VLI, Bauerfield International Airport
TAH, White Grass Airport
Vietnam
HAN, Noi Bai International Airport
SGN, Tan Son Nhat International Airport
PQC, Phú Quốc International Airport
* layover only
† multiple times (not counting flying in/out on the same trip - i.e. multiple trips)
[Did my best to get their 'formal' English name, but might have got some wrong]